Home / 1,143.18-1,577.48-723.74

Finding the Fourth Proportional to 1,143.18, 1,577.48 and 723.74

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Solution

The fourth proportional to 1,143.18, 1,577.48 and 723.74 is: 998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.18 : 1,577.48 = 723.74 : x
  2. Step 2: Convert to fraction form
    1,143.18/1,577.48 = 723.74/x
  3. Step 3: Cross multiply
    1,143.18x = 1,577.48 × 723.74
  4. Step 4: Simplify right side
    1,143.18x = 1,141,673.87
  5. Step 5: Solve for x
    x = 1,141,673.87/1,143.18
  6. Step 6: Final answer
    x = 998.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.